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Finding the Fourth Proportional to 97,561, 134,634.22 and 52,849

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Solution

The fourth proportional to 97,561, 134,634.22 and 52,849 is: 72,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,561 : 134,634.22 = 52,849 : x
  2. Step 2: Convert to fraction form
    97,561/134,634.22 = 52,849/x
  3. Step 3: Cross multiply
    97,561x = 134,634.22 × 52,849
  4. Step 4: Simplify right side
    97,561x = 7,115,283,892.78
  5. Step 5: Solve for x
    x = 7,115,283,892.78/97,561
  6. Step 6: Final answer
    x = 72,931.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.